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QveST [7]
4 years ago
5

You have four cards, labeled 2-5. What is the probability of drawing a number less than 3, putting the card back, then drawing a

prime number?
Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0

|\Omega|=4^2=16\\ |A|=1\cdot 3=3\\\\ P(A)=\dfrac{3}{16}\approx19\%

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If f(1) = 0, what are all the roots of the function f (x) = x cubed 3 x squared minus x minus 3? Use the Remainder Theorem. X =
LiRa [457]

All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The function given in the problem is,

f(x)=x^3+3x^2-x-3

If f(1) = 0

f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0

Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'

x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0

Equate all the groups to zero to find the roots as,

x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1

Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

Learn more about polynomial here;

brainly.com/question/24380382

5 0
3 years ago
Jinny is selling bracelets for $4.00. So far, she has earned $296.00. She needs to earn more than $472.00 in order to meet her g
Darya [45]
She needs more then 472 and has 296 so she still needs 176 because 472-296=176
Each bracelets is 4 so then 176/4 is 44
1. She needs to sell 44 more bracelets,45 if she needs more than 472
2 the inequality would be x>=44 bracelets
7 0
3 years ago
How many 1/4 gram doses can be obtained from 10 1/2 gram vial of medication?
alexdok [17]

Answer:

2.02× 10²= 202

I hope it help

5 0
3 years ago
The graph of f(x) = |xl is transformed to g(x) = |x+1|- 7. On which interval is the function decreasing?
lesantik [10]

Answer:c

Step-by-step explanation:

7 0
3 years ago
Find x inscribed angles
mina [271]
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x

Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y

Hope this helps!
5 0
3 years ago
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